Finding the Third Proportional to 347,142 and 760,864

Step by Step Solution

1. Step 1: Write the proportion equation
   347,142 : 760,864 = 760,864 : x
2. Step 2: Convert to fraction form
   347,142/760,864 = 760,864/x
3. Step 3: Cross multiply
   347,142x = 760,864 × 760,864
4. Step 4: Simplify right side
   347,142x = 578,914,026,496
5. Step 5: Solve for x
   x = 578,914,026,496/347,142
6. Step 6: Final answer
   x = 1,667,657.69